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For real x, let f (x) =x^3+ 5x + 1, then...

For real x, let `f (x) =x^3+ 5x + 1`, then:

A

f is onto R but not one-one

B

f is one-one and onto R

C

f is neither one-one nor onto R

D

f is one-one but nor onto R.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Let R be the real number. Consider the following subsets of the plane ...

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  2. If A, B and C are three sets such that AnnB = AnnC and AuuB = AuuC, th...

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  3. For real x, let f (x) =x^3+ 5x + 1, then:

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  4. Consider the following relations: R = {(x, y) | x, y are real numbers ...

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  5. Let S={1, 2, 3,4}. The total number of unordered pairs of disjoint sub...

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  6. The domain of the function f(x) = 1/(sqrt(|x|-x)) is :

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  7. Let P = {theta: sin theta- cos theta= sqrt2 cos theta} and Q= {theta: ...

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  8. Let f(x)=x^2a n dg(x)=sinx for all x in R Then the set of all x satis...

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  9. In a town of 10,000 families, it was found that 40% families buy newsp...

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  10. In a town of 10000 families, it was found that 40% families buy newspa...

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  11. In a town of 10000 families, it was found that 40% families buy newspa...

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  12. In a town of 10,000 families, it was found that 40% families buy newsp...

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  13. Given A = {x: pi/6 le x le pi/3} and f (x) = cos x -x(1 + x), find f (...

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  14. Prove that f (x) =x-[x], where [x] denotes the integral part of x not ...

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  15. Find the domain of the function f(x)= ([x]+1)/([x]-1), where [x] denot...

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  16. Find the domain of the following function : f(x)= 1/(sqrt(|x|-x)).

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  17. Find the domain of the following function : f(x)= sqrt(cos(sinx))+ s...

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  18. Find the domain of the following : f(x) = 1/(log10(1-x))+ sqrt (x+2)...

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  19. Find the domain and range of the following function : f(x) =1 /(sqrt...

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  20. Find the domain and range of the following function : f(x) = sin (lo...

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